Marco Jansen demolished the Indian batting line-up with a six-wicket haul before South Africa extended their lead on Day 3 of the second and final Test.
Captain Rishabh Pant conceded that India needed to get better as a Test team.
The Indian team management has not asked for a rank turner for the opening Test of the two-match series against South Africa beginning at the Eden Gardens on Friday, Cricket Association of Bengal president Sourav Ganguly said on Monday.
Hard-hitting left-handed batter David Miller also returns to the T20 squad, as does Donovan Ferreira.
South Africa captain Aiden Markram said their Test victory over hosts Pakistan in difficult conditions was a major confidence boost for the tourists, who will be heading to India next and expect an even sterner test.
South Africa fought a rearguard action to turn the second Test against Pakistan on its head and take the upper hand after an enthralling third day's play on Wednesday.
With the scars of last year's home series whitewash against New Zealand still raw, preparing rank turners may invite risk.
Vice-captain Rishabh Pant said India's batters should have adapted to the challenge of playing on a tricky pitch at the Eden Gardens in Kolkata.
South Africa sharpen spin game in attacking net session ahead of Eden Test
Pakistan captain Shan Masood scored 87 as the hosts reached 259 for 5 at the close of play on Day 1 of the second Test against a wasteful South Africa, who were poor in the field but kept in the contest by fine bowling in Rawalpindi on Monday.
South African captain Temba Bavuma on Sunday said his game is built around an unshakeable defence, which stood him in good stead on a disintegrating Eden Gardens track, where 38 wickets fell inside eight sessions.
For the first time in many years, India are going into a home Test match as underdogs and not favourites. Ask any player worth his salt and he would tell that it is not a happy place to be.
'It's a nice feeling to hear 'Ram Siya Ram' in the background'
India, South Africa pretty close on bowling, batters will face big test in getting runs: Amla
Countering Bumrah before spinners come into play will be key for SA: Graeme Smith
Armed with a potent spin attack, taking on South Africa seems like competing against a "subcontinent team", Ten Doeschate said, admitting that they need to get better at negotiating the challenge posed by tweakers.
South Africa romped to an eight-wicket win over Pakistan on the fourth day of the second Test on Thursday, claiming victory before lunch to level the two-match series.
South Africa coach Shukri Conrad was overwhelmed to see his spinners rule the roost in the first Test against India at the Eden Gardens, signalling to him that the Rainbow Nation is no longer an exclusive "fast bowling country" and hoped that a lot more slow bowlers will emerge.
Yashaswi Jaiswal advance two slots to fifth after notching 175 in the first innings of the New Delhi game while KL Rahul's knocks of 38 and 58 not out lifted him two places to 33rd.
'You saw Yashasvi Jaiswal start in the second innings, did you see the first three balls, the kind of shots that he attempted?'
South African stand-in captain Aiden Markram said home side Pakistan were well within their rights to prepare extreme turning wickets for their two-Test series, which starts in Lahore on Sunday, as they did last year to beat England.
Left-arm spinner Keshav Maharaj produced a career-best 5-33 to dismantle Australia and bowl South Africa to an emphatic 98-run victory in the opening one day international in Cairns on Tuesday.
'I definitely believe the kind of form he is in, the way he is batting, it will strengthen the Indian batting line-up.'
Jadeja reduces South Africa to 93/7 in second innings, India smell big win
This was India's fourth defeat in the last six Tests at home and in all four Tests -- including three against New Zealand -- their batters have flopped against spin.
Keshav Maharaj on Sunday became the first spinner from South Africa to take 200 Test wickets
South Africa captain Temba Bavuma has been ruled out of the two-Test series against Zimbabwe that starts in Bulawayo on June 28 after he failed to recover from a hamstring injury sustained in the World Test Championship final win over Australia at Lord's.
Massive chance for series win in India, SA better-placed with spin resources: Bavuma
The series promises a fascinating duel between the two modern-day pace greats.
Quinton de Kock has reversed his retirement from ODI cricket and has been named in both the ODI and T20I squads for the Pakistan tour.
South Africa will be without striker-bowler Kagiso Rabada for Tuesday's opening One Day International against England at Headingley, captain Temba Bavuma revealed ahead of the clash.
Keshav Maharaj took 4/22 as South Africa thrashed a woeful England side by seven wickets after dismissing the hosts for just 131 runs in the first One-Day International.
S Africa select young guns Brevis, Pretorius for Australia tour
The Indians have not featured in ODIs in recent months but Kuldeep Yadav (650) and Ravindra Jadeja (616) still remained static at number three and number nine in the latest ODI rankings for bowlers.
Travis Head, Mitchell Marsh and Cameron Green smashed blistering hundreds as Australia steamrollered South Africa by 276 runs in the third and final One-Day International.
Rabada spent a month on the sidelines at the Indian Premier League after testing positive for a recreational drug at this year's SA20 competition.
Bavuma said his hamstring was 'feeling good' ahead of his return, and the South African skipper also confirmed he would bat at number three for the opening match of the three-game series behind openers Ryan Rickelton and Aiden Markram.
Top-order batter Rassie van der Dussen will lead South Africa during next month's Twenty20 tri-series with New Zealand and hosts Zimbabwe, with four uncapped players in the squad, Cricket South Africa said on Thursday.
'There is a lot of inspiration we can draw from in the brand of cricket we have played in the last three or four years.'
South Africa's stand-in captain Wiaan Mulder scored an unbeaten double century to set a record for a new Test skipper and help his side to a formidable 465 for four wickets on the first day of the second Test against Zimbabwe in Bulawayo on Sunday.